Following these steps, the coefficients \(c_1\)  to \(c_6\)  in the most general Lagrangian Eq. (REF ) can be fixed to give Eq. (REF ). This Lagrangian defines a theory for the d-wave holographic superconductor that contains the right number of degrees of freedom. However, as it is discussed once again in Ref. [1]}, the theory obtained by this method has several limitations. For instance, the constraint equations only hold if the background is fixed, and so it cannot account for backreactions on the metric.
